4 papers · 1 filter
The Lie algebra f4(Os) (split f4) with Mathematica
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We present in this paper all the details for a complete description of the Lie algebra a in the split case at any characteristic. We finish with the determination of the expression…
The Lie algebra splitg2 with Mathematica using Zorn's matrices
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We will obtain in this paper a generic expression of any element in athe Lie algebra of the derivations of the split octonions a over an arbitrary field. For this purpose, we will…
Algorithm to compute the rank and a Cartan subalgebra of a matrix Lie algebra with Mathematica
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We present in this paper a set of routines constructed to compute the rank of a matrix Lie algebra and also to determine a Cartan subalgebra from a given list of elements
Algorithm to generate ideals in a Lie algebra of matrices at any particular characteristic with Mathematica
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We present in this paper a routine which construct the ideal generated by a list of elements in a matrix Lie algebra at any particular characteristic. We have used this algorithm t…